5 papers
Local dyadic fractional Sobolev spaces: paraproducts, commutators, and the algebra property
Valentia Fragkiadaki, Mishko Mitkovski, Cody B. Stockdale
We characterize the boundedness and compactness of dyadic paraproducts on local dyadic fractional Sobolev spaces, . We apply this result to establish the algebra property for…
Dyadic fractional Sobolev spaces: Embeddings and algebra property
Patricia Alonso Ruiz, Valentia Fragkiadaki
This paper studies a dyadic version of fractional Sobolev spaces in for . It provides new proofs of the corresponding fractional Sobolev embedding as well a…
Fractional Sobolev embeddings and algebra property: A dyadic view
Patricia Alonso Ruiz, Valentia Fragkiadaki
This paper revisits classical fractional Sobolev embedding theorems and the algebra property of the fractional Sobolev space by means of Haar functions and dyadic…
Dimension-free estimates for low degree functions on the Hamming cube
Komla Domelevo, Polona Durcik, Valentia Fragkiadaki +4
The main result of this paper are dimension-free inequalities, , for low degree scalar-valued functions on the Hamming cube. More precisely, for any $\vare…
Paraproducts, Bloom BMO and Sparse BMO Functions
Valentia Fragkiadaki, Irina Holmes Fay
We address bounds for paraproducts in the Bloom setting. We introduce certain "sparse BMO" functions associated with sparse collections with no infinitel…